the x-value for the vertex is given by:

where a is the coefficient of x^2, b is the coefficient of x and c is the constant term. then you plug in whatever value you get for x to find the corresponding y-value, so you can get the coordinate point for the vertex

i suppose you have no problems with finding the intercepts?

for x-intercept, replace y with zero and solve for x

for y-intercept, replace x with zero and solve for y